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PLEASE HELPP NOW ! A 20-foot piece of string is cut into two pieces so that the longer piece is 5 feet longer than twice the shorter piece. Find the
lengths of both pieces.
What is the length of the shorter piece?
(1)
What is the length of the longer piece?
(2)
(1) feet
square feet
(2) O square feet
feet

Respuesta :

Answer:

L = longer piece

S = shorter piece

L + S = 20 ft

so

L = 20 -S

.

L is 5 ft longer than twice the shorter.

L = 2S + 5

.

Equals are equal, so L = L

.

20-S = 2S + 5

Add S to both sides

20 = 3S +5

Subtract 5 from both sides

15 = 3S

so

3S = 15

 

Divide both sides by 3

S = 5

.

L+S = 20

L = 20 -S

L = 20 -5

L = 15.

.

Always check your work.

Is L 5 more than 2*S?

2*S = 10

2*S +5 = 15

L = 15

True.

.

Re-read the question to ensure you answer it.

The longer piece is 15 ft and the shorter piece is 5 ft.